Equicontinuity of mean quasiconformal mappings

DOI10.1134/S0037446611030153zbMath1234.30022OpenAlexW2069563832MaRDI QIDQ642059

Evgeny Aleksandrovich Sevost'yanov, Vladimir I. Ryazanov

Publication date: 25 October 2011

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446611030153

zbMATH Keywords

Sobolev classnormal familyequicontinuitymean quasiconformal mapping

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Normal functions of one complex variable, normal families (30D45)

Related Items (7)

The local behaviour of open, light mappings satisfying generalized modular inequalities ⋮ On the boundary behavior of open discrete mappings with unbounded characteristic ⋮ The boundary behavior of $\mathcal Q_{p,q}$-homeomorphisms ⋮ Unnamed Item ⋮ Theorem on closure and the criterion of compactness for the classes of solutions of the Beltrami equations ⋮ On the equivalence of two approaches to problems of quasiconformal analysis ⋮ On removable singularities of maps with growth bounded by a function

Cites Work

• On integral conditions in the mapping theory
• On recent advances in the Beltrami equations
• On mean quasiconformal mappings
• On conformal dilatation in space
• Lectures on \(n\)-dimensional quasiconformal mappings
• Mappings with finite length distortion
• On quasiconformal mappings
• Moduli in Modern Mapping Theory
• CAPACITY OF CONDENSERS AND SPATIAL MAPPINGS QUASICONFORMAL IN THE MEAN
• Rings and Quasiconformal Mappings in Space
• AN ISOLATED SINGULARITY OF MAPPINGS WITH BOUNDED DISTORTION
• On the length–area dilatation
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